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Finding the Fourth Proportional to 5,877.24, 8,821.62 and 5,849.88

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Solution

The fourth proportional to 5,877.24, 8,821.62 and 5,849.88 is: 8,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.24 : 8,821.62 = 5,849.88 : x
  2. Step 2: Convert to fraction form
    5,877.24/8,821.62 = 5,849.88/x
  3. Step 3: Cross multiply
    5,877.24x = 8,821.62 × 5,849.88
  4. Step 4: Simplify right side
    5,877.24x = 51,605,418.41
  5. Step 5: Solve for x
    x = 51,605,418.41/5,877.24
  6. Step 6: Final answer
    x = 8,780.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.